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Finding the Fourth Proportional to 97,869.50, 146,811.57 and 27,754.46

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Solution

The fourth proportional to 97,869.50, 146,811.57 and 27,754.46 is: 41,633.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,869.50 : 146,811.57 = 27,754.46 : x
  2. Step 2: Convert to fraction form
    97,869.50/146,811.57 = 27,754.46/x
  3. Step 3: Cross multiply
    97,869.50x = 146,811.57 × 27,754.46
  4. Step 4: Simplify right side
    97,869.50x = 4,074,675,847.10
  5. Step 5: Solve for x
    x = 4,074,675,847.10/97,869.50
  6. Step 6: Final answer
    x = 41,633.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.